2125910400 has 192 divisors, whose sum is σ = 7103116800. Its totient is φ = 558745600.

The previous prime is 2125910389. The next prime is 2125910417. The reversal of 2125910400 is 40195212.

2125910400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 680041 + ... + 683159.

It is an arithmetic number, because the mean of its divisors is an integer number (36995400).

Almost surely, 2^2125910400 is an apocalyptic number.

2125910400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551558400).

2125910400 is an abundant number, since it is smaller than the sum of its proper divisors (4977206400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2125910400 is a wasteful number, since it uses less digits than its factorization.

2125910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2125910400 is about 46107.5959034951. The cubic root of 2125910400 is about 1285.8243687049.

The spelling of 2125910400 in words is "two billion, one hundred twenty-five million, nine hundred ten thousand, four hundred".